Further Results on the Synthesis of FiniteTime Stable Systems

W. L. Garrard

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


The logarithm of the square of the Euclidean norm is proposed as a Lyapunov function for synthesis of control systems which are finite-time stable. In some cases this appears to be a more useful Lyapunov function than the square of the Euclidean norm, since the inequalities resulting from use of a logarithmic Lyapunov function are typical of those which occur in classical stability theory. Thus, intuition developed in design of asymptotically stable systems is directly applicable to the design of finite-time stable systems. Also, in some cases the logarithmic Lyapunov function will provide a wider range of parameter values for which it is known that one has finite-time stability.

Original languageEnglish (US)
Pages (from-to)142-144
Number of pages3
JournalIEEE Transactions on Automatic Control
Issue number1
StatePublished - Feb 1972
Externally publishedYes


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